All categories

2 years ago

Which applies the power of a power rule properly to simplify this expression?

Mathematics

2 answers:

emmainna [20.7K]2 years ago

6 0

Answer:

Step-by-step explanation:

[7^(-8)]^(-4) =

A power raised to a power: multiply the exponents.

= 7^[(-8)*(4)]

= 7^(32)

Answer: D.

vodomira [7]2 years ago

6 0

Answer:

7^32, the fourth option

Step-by-step explanation:

For the power rule, if you have a number to a power, for example $x^{a}$ and raise it to another power so it becomes, $(x^{a} )^{b}$ , We simplify by multiplying the powers together. So the simplified answer would be $x^{(a*b)}$ .

You might be interested in

Find the least common denominator of the fractions 2/8 and 3/5

Ierofanga [76]

Answer:

Step-by-step explanation:

2/8 = 10/40

3/5 = 24/40

3 0

3 years ago

To participate in a baseball league, the required equipment for each player is a glove, a hat, and a pair of cleats. A glove cos

Leona [35]

Answer:

1222.2

explanation:

53.95 x 12 = 647.40

17.95 x 12 = 215.40

29.95 x 12 = 359.40

647.40 + 359.40 + 215.40 = 1222.2

6 0

3 years ago

Find the solution of the system of equations.<br> 5x +y = 35<br> -5x + 5y = -5

kherson [118]

Answer:

Y = 5

X= 6

Step-by-step explanation:

I just solved it by my mind you just check it

6 0

3 years ago

Unknown to a medical researcher, 6 out of 25 patients have a heart problem that will result in death if they receive the test dr

Fiesta28 [93]

Using the hypergeometric distribution, it is found that there is a 0.0002 = 0.02% probability that exactly 6 patients will die.

<h3>What is the hypergeometric distribution formula?</h3>

The formula is:

$P(X = x) = h(x,N,n,k) = \frac{C_{k,x}C_{N-k,n-x}}{C_{N,n}}$

$C_{n,x} = \frac{n!}{x!(n-x)!}$

The parameters are:

x is the number of successes.

N is the size of the population.

n is the size of the sample.

k is the total number of desired outcomes.

The values of the parameters for this problem are:

N = 25, k = 6, n = 8.

The probability that exactly 6 patients will die is P(X = 6), hence:

$P(X = x) = h(x,N,n,k) = \frac{C_{k,x}C_{N-k,n-x}}{C_{N,n}}$

$P(X = 6) = h(6,25,8,6) = \frac{C_{6,6}C_{19,2}}{C_{25,8}} = 0.0002$

0.0002 = 0.02% probability that exactly 6 patients will die.

More can be learned about the hypergeometric distribution at brainly.com/question/24826394

#SPJ1

8 0

2 years ago

The value of Bulls Eye stock has decreased 8% each year for the past several years. If in 2010 the stock was worth

Ivenika [448]

Answer:

$ 32.95

Step-by-step explanation:

Cost of Stock at 2010= $ 50

Declining rate each year= 8%

We have to find cost of stock at 2015

Cost of stock after 5 years= $ 50 $(1-\frac{8}{100} )^{5}$

Value of stock after 5 years= $ 50 $(\frac{100-8}{100} )^{5}$

Value of stock after 5 years= $ 50 $(\frac{92}{100} )^{5}$

Value of stock after 5 years= $ 32.95

Hence, the correct answer is $ 32.95

5 0

3 years ago